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Geometry and Measurement Videos 36 videos

TSI Math: Calculating Segment Length with the Distance Formula
6 Views

How long is the line segment connecting the points (-6, 7) and (5, -4)?

TSI Math: Identifying a Line's Bisector on a Graph
1 Views

Any line that bisects the segment shown above must pass through which point?

TSI Math: Working Backwards from the Midpoint Formula to Find an Endpoint
13 Views

Point B is the midpoint of segment AC. The coordinates of A are (-9, 3) and the coordinates of B are (2, -3). What are the coordinates of C?

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TSI Math: Proving Congruency by Mapping One Triangle on Top of Another 4 Views


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Description:

Select the sequence for triangle ABC that shows that triangle ABC is congruent to triangle DEF.


Transcript

00:02

Okay yes i mash shmoop er's Here we go another

00:04

one with the angles and boxes Here gordon graphs triangles

00:08

abc here and df there on the coordinate plane Select

00:11

the sequence for triangle abc that shows that triangle abc

00:15

is congruent to triangle d e f So to prove

00:23

the triangles are khun grew in using translations gordon must

00:27

map one triangle onto the other to avoid finding the

00:30

coordinates for each stephanie sequence of translations Gotta figure out

00:34

which sequence would place the triangle in the correct quadrant

00:37

Right So got quadrant four there that it's sitting in

00:40

rotating now degrees about the origin lanes The triangle in

00:42

quadrant three reflecting over the x axis places it back

00:47

in quadrant two and shifting it down two units while

00:50

probably leaves it in quadrant two So the first series

00:53

of translations a is out Let's Try the second siri's

00:56

be here What if we reflect over why Access and

00:59

we get quadrant one reflect over the x axis We

01:01

have quadrant four Then we rotated two hundred seven degrees

01:05

about point c That's quadrant three You know it didn't

01:08

work either Did it Moving on How about third one

01:10

See here Okay Rotate ninety degrees about point b Get

01:14

quadrants of one and two i guess Shift nine units

01:16

Right That's quadrant one Shift eight units down is probably

01:20

quite a bit three Looks like take a closer look

01:22

at the sequence Well a rotation of nine degrees about

01:25

point b would result in the bc line being parallel

01:28

to the x axis Those translation won't work so by

01:32

default the last sequence is the correct one d Here

01:35

look at the sequence Through the eyes are coordinates of

01:38

point b there rotate to seventy about point being that

01:41

gets us well is a negative five two and then

01:44

shift eight units down We have negative five negative six

01:47

and then shift nine units right for minus six We'll

01:51

be corresponds to e and e is four negative six

01:54

So this is the correct sequence of translations answers day 00:01:58.45 --> [endTime] happening Move on From this we are shmoop

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